Below you will find all the 497 commands and keywords supported by the Scalar Math engine. The number of commands per group is presented in the table, syntax details are in the next part of the page.
| Command Group | # of Commands |
| Scalar | 38 |
| Parser Symbols | 5 |
| Operators | 9 |
| Boolean Operators | 19 |
| Binary Relations | 9 |
| Bitwise Operators | 6 |
| Unary Functions | 102 |
| Binary Functions | 30 |
| 3-args Functions | 15 |
| Variadic Functions | 23 |
| Calculus Operators | 15 |
| Constants | 89 |
| Random Variables | 32 |
| Units | 105 |
| Total | 497 |
âď¸ Scalar Commands
| âĄď¸ Scalar Command | Description âď¸ |
|---|---|
| calc expr | calculate expression, return result as double decimal (base=10) |
| expr | calculate expression, return result as double decimal (base=10) |
| set name = expr | set user defined argument |
| set name | reserve argument name in the namespace |
| name = expr | set user defined argument |
| set constname = expr | set user defined constant |
| constname = expr | set user defined constant |
| set f(a1,a2,…) = expr | set user defined function |
| set f(a1,a2,…) | reserve function name in the namespace |
| f(a1,a2,…) = expr | set user defined function |
| set randomname = expr | set user defined random variable |
| set randname = expr | set user defined random variable |
| random name = expr | set user defined random variable |
| rand name = expr | set user defined random variable |
| rep expr< ‘expr’ … > for name between/bet expr and expr <by expr> | calculate expression in a loop, return delimited list of results |
| frac expr | calculate expression, return result as fraction |
| bin expr | calculate expression, return result as binary (base=2) |
| oct expr | calculate expression, return result as octal (base=8) |
| hex expr | calculate expression, return result as hexadecimal (base=16) |
| base.N expr | calculate expression, return result in numeral system base between 1 and 36 |
| factor expr | calculate expression, result is return in the form of prime factors |
| fact expr | calculate expression, result is return in the form of prime factors |
| list | list available elements calculated or defined by user |
| set option name = value | set system option |
| set opt name = value | set system option |
| option name = value | set system option |
| opt name = value | set system option |
| list options | list available system options |
| list option | list available system options |
| list opt | list available system options |
| options | list available system options |
| info | information on system, i.e. version |
| help <text> | help on math syntax |
| help scalar | help on scalar syntax |
| analyze expr | run expression deep syntax analysis |
| clear all | clear all user defined elements |
| clear name<name … > | clear user defined elements |
| exit | exit, close scalar session |
âď¸ Parser Symbols
| âĄď¸ Parser Symbol | Description âď¸ |
|---|---|
| 1, 1.2e-1, 1_2_3, h.fff, b13.12ab | Number literals |
| ( … ) | Left parentheses |
| ( … ) | Right parentheses |
| (a1, … ,an) | Comma (function parameters) |
âď¸ Operators
| âĄď¸ Operator | Description âď¸ |
|---|---|
| a + b | Addition |
| a – b | Subtraction |
| a * b | Nultiplication |
| a / b | Division |
| a^b | Exponentiation |
| n! | Factorial |
| a # b | Modulo function |
| n% | Percentage |
| a^^n | Tetration (hyper-4, power tower, exponential tower) |
âď¸ Boolean Operators
| âĄď¸ Boolean Operator | Description âď¸ |
|---|---|
| p & q | Logical conjunction (AND) |
| p && q | Logical conjunction (AND) |
| p /\ q | Logical conjunction (AND) |
| p ~& q | NAND – Sheffer stroke |
| p ~&& q | NAND – Sheffer stroke |
| p ~/\ q | NAND – Sheffer stroke |
| p | q | Logical disjunction (OR) |
| p || q | Logical disjunction (OR) |
| p \/ q | Logical disjunction (OR) |
| p ~| q | Logical NOR |
| p ~|| q | Logical NOR |
| p ~\/ q | Logical NOR |
| p (+) q | Exclusive or (XOR) |
| p –> q | Implication (IMP) |
| p <– q | Converse implication (CIMP) |
| p -/> q | Material nonimplication (NIMP) |
| p </- q | Converse nonimplication (CNIMP) |
| p <-> q | Logical biconditional (EQV) |
| ~p | Negation |
âď¸ Binary Relations
| âĄď¸ Binary Relation | Description âď¸ |
|---|---|
| a = b | Equality |
| a == b | Equality |
| a <> b | Inequation |
| a ~= b | Inequation |
| a != b | Inequation |
| a < b | Lower than |
| a > b | Greater than |
| a <= b | Lower or equal |
| a >= b | Greater or equal |
âď¸ Bitwise Operators
| âĄď¸ Bitwise Operator | Description âď¸ |
|---|---|
| @~a | Bitwise unary complement |
| a @& b | Bitwise AND |
| a @^ b | Bitwise exclusive OR |
| a @| b | Bitwise inclusive OR |
| a @<< b | Signed left shift |
| a @>> b | Signed right shift |
âď¸ Unary Functions
| âĄď¸ Unary Function | Description âď¸ |
|---|---|
| sin(x) | Trigonometric sine function |
| cos(x) | Trigonometric cosine function |
| tg(x) | Trigonometric tangent function |
| tan(x) | Trigonometric tangent function |
| ctg(x) | Trigonometric cotangent function |
| cot(x) | Trigonometric cotangent function |
| ctan(x) | Trigonometric cotangent function |
| sec(x) | Trigonometric secant function |
| csc(x) | Trigonometric cosecant function |
| cosec(x) | Trigonometric cosecant function |
| asin(x) | Inverse trigonometric sine function |
| arsin(x) | Inverse trigonometric sine function |
| arcsin(x) | Inverse trigonometric sine function |
| acos(x) | Inverse trigonometric cosine function |
| arcos(x) | Inverse trigonometric cosine function |
| arccos(x) | Inverse trigonometric cosine function |
| atg(x) | Inverse trigonometric tangent function |
| atan(x) | Inverse trigonometric tangent function |
| arctg(x) | Inverse trigonometric tangent function |
| arctan(x) | Inverse trigonometric tangent function |
| actg(x) | Inverse trigonometric cotangent function |
| acot(x) | Inverse trigonometric cotangent function |
| actan(x) | Inverse trigonometric cotangent function |
| arcctg(x) | Inverse trigonometric cotangent function |
| arccot(x) | Inverse trigonometric cotangent function |
| arcctan(x) | Inverse trigonometric cotangent function |
| ln(x) | Natural logarithm function (base e) |
| log2(x) | Binary logarithm function (base 2) |
| log10(x) | Common logarithm function (base 10) |
| rad(x) | Degrees to radians function |
| exp(x) | Exponential function |
| sqrt(x) | Squre root function |
| sinh(x) | Hyperbolic sine function |
| cosh(x) | Hyperbolic cosine function |
| tgh(x) | Hyperbolic tangent function |
| tanh(x) | Hyperbolic tangent function |
| coth(x) | Hyperbolic cotangent function |
| ctgh(x) | Hyperbolic cotangent function |
| ctanh(x) | Hyperbolic cotangent function |
| sech(x) | Hyperbolic secant function |
| csch(x) | Hyperbolic cosecant function |
| cosech(x) | Hyperbolic cosecant function |
| deg(x) | Radians to degrees function |
| abs(x) | Absolut value function |
| sgn(x) | Signum function |
| floor(x) | Floor function |
| ceil(x) | Ceiling function |
| not(x) | Negation function |
| asinh(x) | Inverse hyperbolic sine function |
| arsinh(x) | Inverse hyperbolic sine function |
| arcsinh(x) | Inverse hyperbolic sine function |
| acosh(x) | Inverse hyperbolic cosine function |
| arcosh(x) | Inverse hyperbolic cosine function |
| arccosh(x) | Inverse hyperbolic cosine function |
| atgh(x) | Inverse hyperbolic tangent function |
| atanh(x) | Inverse hyperbolic tangent function |
| arctgh(x) | Inverse hyperbolic tangent function |
| arctanh(x) | Inverse hyperbolic tangent function |
| acoth(x) | Inverse hyperbolic cotangent function |
| actgh(x) | Inverse hyperbolic cotangent function |
| actanh(x) | Inverse hyperbolic cotangent function |
| arcoth(x) | Inverse hyperbolic cotangent function |
| arccoth(x) | Inverse hyperbolic cotangent function |
| arcctgh(x) | Inverse hyperbolic cotangent function |
| arcctanh(x) | Inverse hyperbolic cotangent function |
| asech(x) | Inverse hyperbolic secant function |
| arsech(x) | Inverse hyperbolic secant function |
| arcsech(x) | Inverse hyperbolic secant function |
| acsch(x) | Inverse hyperbolic cosecant function |
| arcsch(x) | Inverse hyperbolic cosecant function |
| arccsch(x) | Inverse hyperbolic cosecant function |
| acosech(x) | Inverse hyperbolic cosecant function |
| arcosech(x) | Inverse hyperbolic cosecant function |
| arccosech(x) | Inverse hyperbolic cosecant function |
| Sa(x) | Sinc function (normalized) |
| sinc(x) | Sinc function (normalized) |
| Sinc(x) | Sinc function (unnormalized) |
| Bell(n) | Bell number |
| Luc(n) | Lucas number |
| Fib(n) | Fibonacci number |
| harm(n) | Harmonic number |
| ispr(n) | Prime number test (is number a prime?) |
| Pi(n) | Prime-counting function – Pi(x) |
| Ei(x) | Exponential integral function (non-elementary specialfunction) – usage example: Ei(x) |
| li(x) | Logarithmic integral function (non-elementary specialfunction) – usage example: li(x) |
| Li(x) | Offset logarithmic integral function (non-elementaryspecial function) – usage example: Li(x) |
| erf(x) | Gauss error function (non-elementary special function) – usage example: 2 + erf(x) |
| erfc(x) | Gauss complementary error function (non-elementary specialfunction) – usage example: 1 – erfc(x) |
| erfInv(x) | Inverse Gauss error function (non-elementary specialfunction) – usage example: erfInv(x) |
| erfcInv(x) | Inverse Gauss complementary error function (non-elementaryspecial function) – usage example: erfcInv(x) |
| ulp(x) | Unit in The Last Place – ulp(0.1) |
| isNaN(x) | Returns true = 1 if value is a Not-a-Number (NaN), false =0 otherwise – usage example: isNaN(x) |
| ndig10(x) | Number of digits in numeral system with base 10 |
| nfact(x) | Prime decomposition – number of distinct prime factors |
| arcsec(x) | Inverse trigonometric secant |
| arccsc(x) | Inverse trigonometric cosecant |
| Gamma(x) | Gamma special function Î(s) |
| LambW0(x) | Lambert-W special function, principal branch 0, alsocalled the omega function or product logarithm |
| LambW1(x) | Lambert-W special function, branch -1, also called the omega function or product logarithm |
| sgnGamma(x) | Signum of Gamma special function, Î(s) |
| logGamma(x) | Log Gamma special function, lnÎ(s) |
| diGamma(x) | Digamma function as the logarithmic derivative of theGamma special function, Ď(x) |
âď¸ Binary Functions
| âĄď¸ Binary Function | Description âď¸ |
|---|---|
| log(a, b) | Logarithm function |
| mod(a, b) | Modulo function |
| C(n, k) | Binomial coefficient function, number of k-combinations that can be drawn from n-elements set |
| nCk(n,k) | Binomial coefficient function, number of k-combinations that can be drawn from n-elements set |
| Bern(m, n) | Bernoulli numbers |
| Stirl1(n, k) | Stirling numbers of the first kind |
| Stirl2(n, k) | Stirling numbers of the second kind |
| Worp(n, k) | Worpitzky number |
| Euler(n, k) | Euler number |
| KDelta(i, j) | Kronecker delta |
| EulerPol | EulerPol |
| Harm(x, n) | Harmonic number |
| rUni(a, b) | Random variable – Uniform continuous distribution U(a,b),usage example: 2*rUni(2,10) |
| rUnid(a, b) | Random variable – Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100) |
| round(x, n) | Half-up rounding, usage examples: round(2.2, 0) = 2,round(2.6, 0) = 3, round(2.66,1) = 2.7 |
| rNor(mean, stdv) | Random variable – Normal distribution N(m,s) m – mean, s -stddev, usage example: 3*rNor(0,1) |
| ndig(number, base) | Number of digits representing the number in numeral systemwith given base |
| dig10(num, pos) | Digit at position 1 … n (left -> right) or 0 … -(n-1)(right -> left) – base 10 numeral system |
| factval(number, factorid) | Prime decomposition – factor value at position between 1… nfact(n) – ascending order by factor value |
| factexp(number, factorid) | Prime decomposition – factor exponent / multiplicity atposition between 1 … nfact(n) – ascending order by factor value |
| root(rootorder, number) | N-th order root of a number |
| GammaL(s,x) | Lower incomplete gamma special function, Îł(s,x) |
| GammaU(s,x) | Upper incomplete Gamma special function, Î(s,x) |
| GammaP(s,x) | Lower regularized P gamma special function, P(s,x) |
| GammaRegL(s,x) | Lower regularized P gamma special function, P(s,x) |
| GammaQ(s,x) | Upper regularized Q Gamma special function, Q(s,x) |
| GammaRegU(s,x) | Upper regularized Q Gamma special function, Q(s,x) |
| nPk(n,k) | Number of k-permutations that can be drawn from n-elementsset |
| Beta(x,y) | The Beta special function B(x,y), also called the Euler integral of the first kind |
| logBeta(x,y) | The Log Beta special function ln B(x,y), also calledthe Log Euler integral of the first kind, ln B(x,y) |
âď¸ 3-args Functions
| âĄď¸ 3-args Function | Description âď¸ |
|---|---|
| if( cond, expr-if-true, expr-if-false ) | If function |
| chi(x, a, b) | Characteristic function for x in (a,b) |
| CHi(x, a, b) | Characteristic function for x in [a,b] |
| Chi(x, a, b) | Characteristic function for x in [a,b) |
| cHi(x, a, b) | Characteristic function for x in (a,b] |
| pUni(x, a, b) | Probability distribution function – Uniform continuous distribution U(a,b) |
| cUni(x, a, b) | Cumulative distribution function – Uniform continuousdistribution U(a,b) |
| qUni(q, a, b) | Quantile function (inverse cumulative distribution function) – Uniform continuous distribution U(a,b) |
| pNor(x, mean, stdv) | Probability distribution function – Normal distribution N(m,s) |
| cNor(x, mean, stdv) | Cumulative distribution function – Normal distribution N(m,s) |
| qNor(q, mean, stdv) | Quantile function (inverse cumulative distribution function) |
| dig(num, pos, base) | Digit at position 1 … n (left -> right) or 0 … -(n-1)(right -> left) – numeral system with given base |
| BetaInc(x,a,b) | The incomplete beta special function B(x; a, b), alsocalled the incomplete Euler integral of the first kind |
| BetaI(x,a,b) | The regularized incomplete beta (or regularized beta)special function I(x; a, b), also called the regularized incomplete Euler integral of the first kind |
| BetaReg(x,a,b) | The regularized incomplete beta (or regularized beta)special function I(x; a, b), also called the regularized incomplete Euler integral of the first kind |
âď¸ Variadic Functions
| âĄď¸ Variadic Function | Description âď¸ |
|---|---|
| iff( cond-1, expr-1; ⌠; cond-n, expr-n ) | If function |
| min(a1, …, an) | Minimum function |
| max(a1, …, an) | Maximum function |
| ConFrac(a1, …, an) | Continued fraction |
| ConPol(a1, …, an) | Continued polynomial |
| gcd(a1, …, an) | Greatest common divisor |
| lcm(a1, …, an) | Least common multiple |
| add(a1, …, an) | Summation operator |
| multi(a1, …, an) | Multiplication |
| mean(a1, …, an) | Mean / average value |
| var(a1, …, an) | Bias-corrected sample variance |
| std(a1, …, an) | Bias-corrected sample standard deviation |
| rList(a1, …, an) | Random number from given list of numbers |
| coalesce(a1, …, an) | Returns the first non-NaN value |
| or(a1, …, an) | Logical disjunction (OR) – variadic |
| and(a1, …, an) | Logical conjunction (AND) – variadic |
| xor(a1, …, an) | Exclusive or (XOR) – variadic |
| argmin(a1, …, an) | Arguments / indices of the minima |
| argmax(a1, …, an) | Arguments / indices of the maxima |
| med(a1, …, an) | The sample median |
| mode(a1, …, an) | Mode – the value that appears most often |
| base(b, d1, …, dn) | Returns number in given numeral system base represented bylist of digits |
| ndist(v1, …, vn) | Number of distinct values |
âď¸ Calculus Operators
| âĄď¸ Calculus Operator | Description âď¸ |
|---|---|
| sum( i, from, to, expr , <by> ) | Summation operator – SIGMA |
| prod( i, from, to, expr, <by> ) | Product operator – PI |
| int( expr, arg, from, to ) | Definite integral operator |
| der( expr, arg, <point> ) | Derivative operator |
| der-( expr, arg, <point> ) | Left derivative operator |
| der+( expr, arg, <point> ) | Right derivative operator |
| dern( expr, n, arg ) | n-th derivative operator |
| diff( expr, arg, <delta> ) | Forward difference operator |
| difb( expr, arg, <delta> ) | Backward difference operator |
| avg( i, from, to, expr , <by> ) | Average operator |
| vari( i, from, to, expr, <by> ) | Bias-corrected sample variance operator |
| stdi( i, from, to, expr, <by> ) | Bias-corrected sample standard deviation operator |
| mini( i, from, to, expr , <by> ) | Minimum value |
| maxi( i, from, to, expr, <by> ) | Maximum value |
| solve( expr, arg, from, to ) | f(x) = 0 equation solving, function root finding |
âď¸ Constants
| âĄď¸ Constant Value | Description âď¸ |
|---|---|
| pi | Pi, Archimedes’ constant or Ludolph’s number |
| e | Napier’s constant, or Euler’s number, base of Naturallogarithm |
| [gam] | Euler-Mascheroni constant |
| [phi] | Golden ratio |
| [PN] | Plastic constant |
| [B*] | Embree-Trefethen constant |
| [F’d] | Feigenbaum constant alfa |
| [F’a] | Feigenbaum constant delta |
| [C2] | Twin prime constant |
| [M1] | Meissel-Mertens constant |
| [B2] | Brun’s constant for twin primes |
| [B4] | Brun’s constant for prime quadruplets |
| [BN’L] | de Bruijn-Newman constant |
| [Kat] | Catalan’s constant |
| [K*] | Landau-Ramanujan constant |
| [K.] | Viswanath’s constant |
| [B’L] | Legendre’s constant |
| [RS’m] | Ramanujan-Soldner constant |
| [EB’e] | Erdos-Borwein constant |
| [Bern] | Bernstein’s constant |
| [GKW’l] | Gauss-Kuzmin-Wirsing constant |
| [HSM’s] | Hafner-Sarnak-McCurley constant |
| [lm] | Golomb-Dickman constant |
| [Cah] | Cahen’s constant |
| [Ll] | Laplace limit |
| [AG] | Alladi-Grinstead constant |
| [L*] | Lengyel’s constant |
| [L.] | Levy’s constant |
| [Dz3] | Apery’s constant |
| [A3n] | Mills’ constant |
| [Bh] | Backhouse’s constant |
| [Pt] | Porter’s constant |
| [L2] | Lieb’s square ice constant |
| [Nv] | Niven’s constant |
| [Ks] | Sierpinski’s constant |
| [Kh] | Khinchin’s constant |
| [FR] | Fransen-Robinson constant |
| [La] | Landau’s constant |
| [P2] | Parabolic constant |
| [Om] | Omega constant |
| [MRB] | MRB constant |
| [li2] | li(2) – Logarithmic integral function at x=2 |
| [EG] | Gompertz constant |
| <Physical Constant> Light speed in vacuum [m/s] (m=1,s=1) | |
| [G.] | <Physical Constant> Gravitational constant (m=1, kg=1, s=1)] |
| [g] | <Physical Constant> Gravitational acceleration on Earth [m/s^2] (m=1, s=1) |
| [hP] | <Physical Constant> Planck constant (m=1, kg=1, s=1) |
| [h-] | <Physical Constant> Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)] |
| [lP] | <Physical Constant> Planck length [m] (m=1) |
| [mP] | <Physical Constant> Planck mass [kg] (kg=1) |
| [tP] | <Physical Constant> Planck time [s] (s=1) |
| [ly] | <Astronomical Constant> Light year [m] (m=1) |
| [au] | <Astronomical Constant> Astronomical unit [m] (m=1) |
| [pc] | <Astronomical Constant> Parsec [m] (m=1) |
| [kpc] | <Astronomical Constant> Kiloparsec [m] (m=1) |
| [Earth-R-eq] | <Astronomical Constant> Earth equatorial radius [m] (m=1) |
| [Earth-R-po] | <Astronomical Constant> Earth polar radius [m] (m=1) |
| [Earth-R] | <Astronomical Constant> Earth mean radius (m=1) |
| [Earth-M] | <Astronomical Constant> Earth mass [kg] (kg=1) |
| [Earth-D] | <Astronomical Constant> Earth-Sun distance – semi major axis [m] (m=1) |
| [Moon-R] | <Astronomical Constant> Moon mean radius [m] (m=1) |
| [Moon-M] | <Astronomical Constant> Moon mass [kg] (kg=1) |
| [Moon-D] | <Astronomical Constant> Moon-Earth distance – semi major axis [m] (m=1) |
| [Solar-R] | <Astronomical Constant> Solar mean radius [m] (m=1) |
| [Solar-M] | <Astronomical Constant> Solar mass [kg] (kg=1) |
| [Mercury-R] | <Astronomical Constant> Mercury mean radius [m] (m=1) |
| [Mercury-M] | <Astronomical Constant> Mercury mass [kg] (kg=1) |
| [Mercury-D] | <Astronomical Constant> Mercury-Sun distance – semi majoraxis [m] (m=1) |
| [Venus-R] | <Astronomical Constant> Venus mean radius [m] (m=1) |
| [Venus-M] | <Astronomical Constant> Venus mass [kg] (kg=1) |
| [Venus-D] | <Astronomical Constant> Venus-Sun distance – semi major axis [m] (m=1) |
| [Mars-R] | <Astronomical Constant> Mars mean radius [m] (m=1) |
| [Mars-M] | <Astronomical Constant> Mars mass [kg] (kg=1) |
| [Mars-D] | <Astronomical Constant> Mars-Sun distance – semi major axis [m] (m=1) |
| [Jupiter-R] | <Astronomical Constant> Jupiter mean radius [m] (m=1) |
| [Jupiter-M] | <Astronomical Constant> Jupiter mass [kg] (kg=1) |
| [Jupiter-D] | <Astronomical Constant> Jupiter-Sun distance – semi majoraxis [m] (m=1) |
| [Saturn-R] | <Astronomical Constant> Saturn mean radius [m] (m=1) |
| [Saturn-M] | <Astronomical Constant> Saturn mass [kg] (kg=1) |
| [Saturn-D] | <Astronomical Constant> Saturn-Sun distance – semi major axis [m] (m=1) |
| [Uranus-R] | <Astronomical Constant> Uranus mean radius [m] (m=1) |
| [Uranus-M] | <Astronomical Constant> Uranus mass [kg] (kg=1) |
| [Uranus-D] | <Astronomical Constant> Uranus-Sun distance – semi major axis [m] (m=1) |
| [Neptune-R] | <Astronomical Constant> Neptune mean radius [m] (m=1) |
| [Neptune-M] | <Astronomical Constant> Neptune mass [kg] (kg=1) |
| [Neptune-D] | <Astronomical Constant> Neptune-Sun distance – semi majoraxis [m] (m=1) |
| [true] | Boolean True represented as double, [true] = 1 |
| [false] | Boolean False represented as double, [false] = 0 |
| [NaN] | Not-a-Number |
âď¸ Random Variables
| âĄď¸ Random Variable | Description âď¸ |
|---|---|
| [Uni] | Random variable – Uniform continuous distribution U(0,1) |
| [Int] | Random variable – random integer |
| [Int1] | Random variable – random integer – Uniform discrete distribution U{-10^1, 10^1} |
| [Int2] | Random variable – random integer – Uniform discrete distribution U{-10^2, 10^2} |
| [Int3] | Random variable – random integer – Uniform discrete distribution U{-10^3, 10^3} |
| [Int4] | Random variable – random integer – Uniform discrete distribution U{-10^4, 10^4} |
| [Int5] | Random variable – random integer – Uniform discrete distribution U{-10^5, 10^5} |
| [Int6] | Random variable – random integer – Uniform discrete distribution U{-10^6, 10^6} |
| [Int7] | Random variable – random integer – Uniform discrete distribution U{-10^7, 10^7} |
| [Int8] | Random variable – random integer – Uniform discrete distribution U{-10^8, 10^8} |
| [Int9] | Random variable – random integer – Uniform discrete distribution U{-10^9, 10^9} |
| [nat] | Random variable – random natural number including 0 |
| [nat1] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^1} |
| [nat2] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^2} |
| [nat3] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^3} |
| [nat4] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^4} |
| [nat5] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^5} |
| [nat6] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^6} |
| [nat7] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^7} |
| [nat8] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^8} |
| [nat9] | Random variable – random natural number including 0 -Uniform discrete distribution U{0, 10^9} |
| [Nat] | Random variable – random natural number |
| [Nat1] | Random variable – random natural number – Uniform discretedistribution U{1, 10^1} |
| [Nat2] | Random variable – random natural number – Uniform discretedistribution U{1, 10^2} |
| [Nat3] | Random variable – random natural number – Uniform discretedistribution U{1, 10^3} |
| [Nat4] | Random variable – random natural number – Uniform discretedistribution U{1, 10^4} |
| [Nat5] | Random variable – random natural number – Uniform discretedistribution U{1, 10^5} |
| [Nat6] | Random variable – random natural number – Uniform discretedistribution U{1, 10^6} |
| [Nat7] | Random variable – random natural number – Uniform discretedistribution U{1, 10^7} |
| [Nat8] | Random variable – random natural number – Uniform discretedistribution U{1, 10^8} |
| [Nat9] | Random variable – random natural number – Uniform discretedistribution U{1, 10^9} |
| [Nor] | Random variable – Normal distribution N(0,1) |
âď¸ Units
| âĄď¸ Unit | Description âď¸ |
|---|---|
| [%] | <Ratio, Fraction> Percentage = 0.01 |
| [%%] | <Ratio, Fraction> Promil, Per mille = 0.001 |
| [Y] | <Metric prefix> Septillion / Yotta = 10^24 |
| [sept] | <Metric prefix> Septillion / Yotta = 10^24 |
| [Z] | <Metric prefix> Sextillion / Zetta = 10^21 |
| [sext] | <Metric prefix> Sextillion / Zetta = 10^21 |
| [E] | <Metric prefix> Quintillion / Exa = 10^18 |
| [quint] | <Metric prefix> Quintillion / Exa = 10^18 |
| [P] | <Metric prefix> Quadrillion / Peta = 10^15 |
| [quad] | <Metric prefix> Quadrillion / Peta = 10^15 |
| [T] | <Metric prefix> Trillion / Tera = 10^12 |
| [tril] | <Metric prefix> Trillion / Tera = 10^12 |
| [G] | <Metric prefix> Billion / Giga = 10^9 |
| [bil] | <Metric prefix> Billion / Giga = 10^9 |
| [M] | <Metric prefix> Million / Mega = 10^6 |
| [mil] | <Metric prefix> Million / Mega = 10^6 |
| [k] | <Metric prefix> Thousand / Kilo = 10^3 |
| [th] | <Metric prefix> Thousand / Kilo = 10^3 |
| [hund] | <Metric prefix> Hundred / Hecto = 10^2 |
| [hecto] | <Metric prefix> Hundred / Hecto = 10^2 |
| [ten] | <Metric prefix> Ten / Deca = 10 |
| [deca] | <Metric prefix> Ten / Deca = 10 |
| [deci] | <Metric prefix> Tenth / Deci = 0.1 |
| [centi] | <Metric prefix> Hundredth / Centi = 0.01 |
| [milli] | <Metric prefix> Thousandth / Milli = 0.001 |
| [mic] | <Metric prefix> Millionth / Micro = 10^-6 |
| [n] | <Metric prefix> Billionth / Nano = 10^-9 |
| [p] | <Metric prefix> Trillionth / Pico = 10^-12 |
| [f] | <Metric prefix> Quadrillionth / Femto = 10^-15 |
| [a] | <Metric prefix> Quintillionth / Atoo = 10^-18 |
| [z] | <Metric prefix> Sextillionth / Zepto = 10^-21 |
| [y] | <Metric prefix> Septillionth / Yocto = 10^-24 |
| [m] | <Unit of length> Metre / Meter (m=1) |
| [km] | <Unit of length> Kilometre / Kilometer (m=1) |
| [cm] | <Unit of length> Centimetre / Centimeter (m=1) |
| [mm] | <Unit of length> Millimetre / Millimeter (m=1) |
| [inch] | <Unit of length> Inch (m=1) |
| [yd] | <Unit of length> Yard (m=1) |
| [ft] | <Unit of length> Feet (m=1) |
| [mile] | <Unit of length> Mile (m=1) |
| [nmi] | <Unit of length> Nautical mile (m=1) |
| [m2] | <Unit of area> Square metre / Square meter (m=1) |
| [cm2] | <Unit of area> Square centimetre / Square centimeter(m=1) |
| [mm2] | <Unit of area> Square millimetre / Square millimeter(m=1) |
| [are] | <Unit of area> Are (m=1) |
| [ha] | <Unit of area> Hectare (m=1) |
| [acre] | <Unit of area> Acre (m=1) |
| [km2] | <Unit of area> Square kilometre / Square kilometer (m=1) |
| [mm3] | <Unit of volume> Cubic millimetre / Cubic millimeter(m=1) |
| [cm3] | <Unit of volume> Cubic centimetre / Cubic centimeter(m=1) |
| [m3] | <Unit of volume> Cubic metre / Cubic meter (m=1) |
| [km3] | <Unit of volume> Cubic kilometre / Cubic kilometer (m=1) |
| [ml] | <Unit of volume> Millilitre / Milliliter (m=1) |
| [l] | <Unit of volume> Litre / Liter (m=1) |
| [gall] | <Unit of volume> Gallon (m=1) |
| [pint] | <Unit of volume> Pint (m=1) |
| [s] | <Unit of time> Second (s=1) |
| [ms] | <Unit of time> Millisecond (s=1) |
| [min] | <Unit of time> Minute (s=1) |
| [h] | <Unit of time> Hour (s=1) |
| [day] | <Unit of time> Day (s=1) |
| [week] | <Unit of time> Week (s=1) |
| [yearj] | <Unit of time> Julian year = 365.25 days (s=1) |
| [kg] | <Unit of mass> Kilogram (kg=1) |
| [gr] | <Unit of mass> Gram (kg=1) |
| [mg] | <Unit of mass> Milligram (kg=1) |
| [dag] | <Unit of mass> Decagram (kg=1) |
| [t] | <Unit of mass> Tonne (kg=1) |
| [oz] | <Unit of mass> Ounce (kg=1) |
| [lb] | <Unit of mass> Pound (kg=1) |
| [b] | <Unit of information> Bit (bit=1) |
| [kb] | <Unit of information> Kilobit (bit=1) |
| [Mb] | <Unit of information> Megabit (bit=1) |
| [Gb] | <Unit of information> Gigabit (bit=1) |
| [Tb] | <Unit of information> Terabit (bit=1) |
| [Pb] | <Unit of information> Petabit (bit=1) |
| [Eb] | <Unit of information> Exabit (bit=1) |
| [Zb] | <Unit of information> Zettabit (bit=1) |
| [Yb] | <Unit of information> Yottabit (bit=1) |
| [B] | <Unit of information> Byte (bit=1) |
| [kB] | <Unit of information> Kilobyte (bit=1) |
| [MB] | <Unit of information> Megabyte (bit=1) |
| [GB] | <Unit of information> Gigabyte (bit=1) |
| [TB] | <Unit of information> Terabyte (bit=1) |
| [PB] | <Unit of information> Petabyte (bit=1) |
| [EB] | <Unit of information> Exabyte (bit=1) |
| [ZB] | <Unit of information> Zettabyte (bit=1) |
| [YB] | <Unit of information> Yottabyte (bit=1) |
| [J] | <Unit of energy> Joule (m=1, kg=1, s=1) |
| [eV] | <Unit of energy> Electronovolt (m=1, kg=1, s=1) |
| [keV] | <Unit of energy> Kiloelectronovolt (m=1, kg=1, s=1) |
| [MeV] | <Unit of energy> Megaelectronovolt (m=1, kg=1, s=1) |
| [GeV] | <Unit of energy> Gigaelectronovolt (m=1, kg=1, s=1) |
| [TeV] | <Unit of energy> Teraelectronovolt (m=1, kg=1, s=1) |
| [m/s] | <Unit of speed> Metre / Meter per second (m=1, s=1) |
| [km/h] | <Unit of speed> Kilometre / Kilometer per hour (m=1,s=1) |
| [mi/h] | <Unit of speed> Mile per hour (m=1, s=1) |
| [knot] | <Unit of speed> Knot (m=1, s=1) |
| [m/s2] | <Unit of acceleration> Metre / Meter per square second (m=1, s=1) |
| [km/h2] | <Unit of acceleration> Kilometre / Kilometer per square hour (m=1, s=1) |
| [mi/h2] | <Unit of acceleration> Mile per square hour (m=1, s=1) |
| [rad] | <Unit of angle> Radian (rad=1) |
| [deg] | <Unit of angle> Degree of arc (rad=1) |
| [‘] | <Unit of angle> Minute of arc (rad=1) |
| [”] | <Unit of angle> Second of arc (rad=1) |
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